The document is a practice worksheet for an accumulative math exam containing 20 word problems. Students are instructed to show their work and follow four steps to solve each problem: read, plan, solve, and check. The problems cover a range of math concepts including addition, subtraction, multiplication, division, percentages, and word problems involving money, measurements, and number operations.

1. COLEGIO LA ARBOLEDA
MATHEMATICS
PRACTICE FOR THE ACUMMULATIVE EXAM
PROBLEM SOLVING
Date: __________________ Grade: ________ Name: ______________________________
Solve the following word problems in separated sheets. Staple them together with this
sheet in the front. Follow the four steps: Read, Plan, Solve and Check.
1. Rito collects action figures. He got in the Internet and bought a Spiderman that’s cost
US $17.99 and a Cosmic Cat that cost US $12.99 more. How much does the Cosmic
Cat cost?
2. Carolino bought a jacket that cost US $54.99. How much change does he receive from
a US $100 bill?
3. Kathleen has covered 46.75 meters in a race. How about much farther must she go to
complete the 50 meters race?*
4. Gregoria bought her groceries. The bill was $150,690. There was an additional $24,110
tax. She paid with four $50,000 bills. How much change should Gregoria receive?
5. Rafaelo bought 5 pounds of chicken at US $0.67 per pound. Leonarda bought 3 pounds
of beef at US $2.55 per pound. Who paid more? How much more?
6. 5,000 students from Tapita School are in a field trip to Calima Lake. They want to tour
the lake in a boat that holds 48 passengers per trip. How many trips does the boat need
to do to tour all the students?
7. Angelo’s 15th birthday is coming. His parents are planning to throw a big party and
invited two hundred twenty-five people. If each table seats 70 people, how many tables
will be needed to seat all the guests?
8. Melinda bought 3.2 lb of cherries for US $2.88. Cody paid US $3.78 for 4.5 lb of
cherries. Who paid more per pound? How much more?*
9. How many dimes (10 cent coins) are in US $25.80? Remember that one cent is one
hundredth.
10. How many pennies (1 cent coins) are in US $35.99?
11. How many squared tiles of 2 meters by 2 meters are needed to cover a rectangular
backyard of 16 meters by 6 meters?
12. Lucio has twice as many dollars as Chila. If they have US $369 altogether, how much
money does each one have?
13. Jesusa collects stamps and has 1400 in total. She has three times as Asian stamps as
many South American stamps. How many stamps of each continent does she have?
14. Laurolio earned US $524.60 babysitting and put his money in his bank account. He
now has US $2,069.99. How much was in his account to begin with?
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2. 15. Graciela bought in February 100 shares of Ecopetrol at $ 1,700 each one. Her stock
broker predicted the following behavior of the share in time: The value is going to raise
$50 for the next three months, then it is going to drop $65 for the next four months and
it is going to raise $40 until the end of the year. What is going to be the value of the
share in December?
16. The weather forecaster predicted the temperature in Pasto for the next two weeks: The
first five days, the temperature is going to be stable in 100 C. The next four days it is
going to raise 20 C each day and finally, it is going to drop 10 C until the last day. What
is going to be the temperature at the end?
17. Evaluate the following expressions when x is ten, y is five and z is zero:
a) 2 x  3 y  8 z c) 30 x  8 y  x
x  z  7y d) 4 x  x 3 y  z 
b)
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18. Translate the following statements to mathematic expressions:
a) The quotient when a number is divided by the difference between five and three
b) The product when the sum of a number and four is multiplied by seven
c) The difference of a number doubled and six
d) A number less than ten
e) A number subtracted from ten
f) Ten less than a number
g) Ten subtracted from a number
19. Translate the following mathematic expressions to English:
a) n  10 d)  m  6  7
b) 10  n h
c) 2 x  6 e)
 5  3
20. Make up a word problem in which you can use “guess and test” to solve it. Apply the
four steps to read, to plan, to solve and to check and find a complete answer.
*From “Progress in Mathematics” – Sadlier-Oxford
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